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130321221223009 is a prime number
BaseRepresentation
bin11101101000011011000110…
…000110010000001001100001
3122002102120211222102010210111
4131220123012012100021201
5114040140330113114014
61141100424215331321
736310253231101015
oct3550330606201141
9562376758363714
10130321221223009
1138584a12a05463
1212749161380b41
135794313aa3b8b
14242781b87c545
15100ee49d022c4
hex7686c6190261

130321221223009 has 2 divisors, whose sum is σ = 130321221223010. Its totient is φ = 130321221223008.

The previous prime is 130321221222971. The next prime is 130321221223027. The reversal of 130321221223009 is 900322122123031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123963662406609 + 6357558816400 = 11133897^2 + 2521420^2 .

It is a cyclic number.

It is not a de Polignac number, because 130321221223009 - 217 = 130321221091937 is a prime.

It is a super-2 number, since 2×1303212212230092 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (130321221223309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65160610611504 + 65160610611505.

It is an arithmetic number, because the mean of its divisors is an integer number (65160610611505).

Almost surely, 2130321221223009 is an apocalyptic number.

It is an amenable number.

130321221223009 is a deficient number, since it is larger than the sum of its proper divisors (1).

130321221223009 is an equidigital number, since it uses as much as digits as its factorization.

130321221223009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 130321221223009 in words is "one hundred thirty trillion, three hundred twenty-one billion, two hundred twenty-one million, two hundred twenty-three thousand, nine".